The number 42832
42832 is a composite number with 10 divisors. Its prime factorisation is × 2677. Divisors (10): 1, 2, 4, 8, 16, 2677, 5354, 10708, 21416, 42832.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42832: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42832 is composite. Its prime factorisation is
- 3
The divisors add up to 83018; without 42832 itself that is 40186, so 42832 is deficient (40186 is less than 42832). Euler's totient φ(42832) = 21408 numbers up to 42832 share no factor with it.
- 4
The digits of 42832 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42832 = 2^{4} \times 2677 \]42832 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 83018 |
| Euler totient φ(n) | 21408 |
| Square | 1834580224 |
| Cube | 78578740154368 |
| Square root | 206.958933 (= 4√2677) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.2832 × |
42832 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and thirty-two |
| Binary (base 2) | 1010011101010000 |
| Octal (base 8) | 123520 |
| Hexadecimal (base 16) | A750 |
| Base 3 | 2011202101 |
| As time | 42832 seconds = 11 h 53 min 52 s |
Is 42832 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42832 ÷ 2 = 21416) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42832 ÷ 4 = 10708) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (42832 ÷ 8 = 5354) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42832 a prime number?
No. 42832 = × 2677, so it is divisible by 2.
What are the factors of 42832?
1, 2, 4, 8, 16, 2677, 5354, 10708, 21416, 42832.
What is 42832 in binary?
1010011101010000 (hexadecimal A750, octal 123520).
What is the square root of 42832?
About 206.9589, exactly 4√2677.
Is 42832 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42832?
42832 is a happy number: repeatedly adding the squares of its digits reaches 1.